ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/x A
• -x B
• 2x C
• 0.5 x D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

The set {Z\ {0} } is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

The set {1,-1,i,-i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these D

• A A
• B B
• A' C
• None of these D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D